Solve (D3-3D2+3D-1)y=x2.ex

Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: Eliminate the arbitrary constants of the equation y = ce-2x + C2e3x (A) у" - 4y' - бу 3D0 в) у"- у -…

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Q: Ex. (12) Solve [D2+3D -4]y=2sin (5x) Sals-

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Q: Find the Solution of the ff: 1. (D³ – 3D² – 3D + 1)y = 0

A: As per our guidelines we are supposed to solve only one question i.e. the question no (1). For the…

Q: If -y = xy - 3x then find d at the point (-2,6) in simplest form. 1

A: As we know that the differentiation of:- dxndx=nxn-1 (fg)'=f'g+fg' fg'=gf'-fg'g2

Q: Perpendicular with y= -1/2x and passes through (2,5)

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Q: C has equation 2x2 +y2 = 18. Dete l passes through the point (1, 0). %3D

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: solve for x and y. y= 2/3x -2 y= -x + 3

A: Solution: The given two equations are

Q: State whether the equation z= (;)' + (3)° %3D defines: ?

A: The equation is z=x82+y52To define the shape of this equation

Q: y''+2y'+y = x² Solve using D-Operator

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Q: f(x, y) = 2x – x² – y? %3D -

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve using substitution. X = 10 -X-8y = 14 %3D Submit

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Q: Solve (D3-3D2+3D-1)y=x2.ex

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Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: Sketch x^2 -y +z^2 =1

A: Answer is mentioned below

Q: Solve (D5 – 2D4 + 4D³ – 8D²) y = 48e-2 16 sin (2x) - = A- B I = E E E P & O

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Q: Solve using separation of variables:   y'-xy+y=2y

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Q: Solve 9z-8y 16 for y %3D

A: 9x-8y=16 y=?

Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

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Q: Solve for y:  x = y2 - 1, y ≥ 0

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Q: xy' + y + 2y' - xsinx = 2sinx

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Q: f (6x?y2x)dydx y-2x)dydx

A: To evaluate the double integral

Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: Find the equation that is perpendicular to y = x +3 and passes through the point (-3, -4). %3D Oy =…

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Q: 2- x*y' y + xy' = 1 3D1

A: Given:        -x2y2y'+xy3=1

Q: Graphically, find the point (x1, y1) which lies on both lines 2x + y = 4 and x −y = 2.

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Q: Find the general solution to(D5 - 2D3 – 2D2 – 3D - 2)y=0

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Q: Solve Hhe difforenhal aquahon d3y dx3 2X (I+x)e -7 -

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Q: 180 = 2z +y %3D Which equation can be used to find x?

A: We have to find the expression for x:180 = 2x + y

Q: (a) x-z = 1 =D1 2х +у - z 3 3 x+y = 2 3D2

A: a) Given:         x-z=1       2x+y-z=3      x+y=2 Converting into matrix form.      10-121-1110…

Q: Solve the equation in the attached image:

A: Given,

Q: Jx² +y° =16 (x+2)* + y² = 25 Solve graphically:

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Q: Solve. Vy-15 +y 15 %3D

A: Given that        √(y-15) + √y = 15 We have to solve for y.

Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: (бх - Зу +2)dk - (2xх - у -1) dy 3D0 |

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Q: y = 6x?, 1, and y 0, about the -axis.

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Q: (9x+ 3)* (5x-2) D (11r-21)" Equation: D3D degrees

A: Explanation of the solution is given below...

Q: Solve the simultaneous equations y = x + 6 and y = 2x² algebraically and show the result…

A: First equation represents a straight line and second equation represents a parabola symmetric about…

Q: Solve the equation xd2y/dx2-dy/dx+4x^3y=x^5

A: Consider the provided D.E,

Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

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Q: (D5 - 2D3 - 2D2- 3D - 2)y = 0. Auxiliary equation and general equation

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Q: Solve using variation of parameters: y" – 2y' + y = -

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Q: Solve the simultaneous equations y = 1 + 3x – x2 and y = 3 – x graphically. %3D fom

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Q: Find the solution such that y' = 2(2x – y) passes through the point (0, -1).

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…

Q: Solve the system X'+y' + 2X = 0 Sint (1) (2) %3D

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Q: y varies jointly as x and z can be modeled by the equation

A: Fill in the blanks: y varies jointly as x and z can be modeled by the equation  ...............

Q: Solve for y: x = y2 - 1, y ≥ 0.

A: Given: x=y2-1, y≥0

Q: "+y = sec³ x

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Q: y varies jointly as x and z can be modeled by the equation________ .

A: y varies jointly as x and z can be modeled by the equation

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.